A free powerpoint ppt presentation displayed as a flash slide show on id. Basic counting principle the basic or fundamental counting principle can be used determine the possible outcomes when there are two or more characteristics can vary. The possible outcomes is the product of the decisions this is the fundamental counting. Ice cream comes in either a cup or a cone and the flavors available are chocolate, strawberry and vanilla.
You can also use the fundamental counting principle to determine the number of permutations. Mar 28, 2017 this video explains the fundamental counting principle and also ties it into a little bit of probability in the last example. Attachment ambiguity and phrase ordering presentation summary. Find powerpoint presentations and slides using the power of, find free presentations research about fundamental principle of counting ppt. View and download powerpoint presentations on fundamental principle of counting ppt.
If you have a ways of doing event 1, b ways of doing event 2, and c ways of event 3, then you can find the total number of outcomes by multiplying. In other words, there is no overlap of the two operations. Counting outcomes 2 the fundamental counting principle the fundamental counting principle uses multiplication of the number of ways each event in an experiment can occur to find the number of possible outcomes in a sample space. How to use the fundamental counting principle video. Performing one operation or another operation means we add the number of possible outcomes. How many different variations in meals can a customer have. Fundamental counting principle of addition if a total event can be accomplished in two or more mutually exclusive alternative ways, then the number of ways in which the total event can be accomplished is given by the sum of the number of ways in which each alternativeevent can be accomplished. In this tutorial, youll be introduced to this principle. There are 6 flavors of icecream, and 3 different cones. The fundamental counting principle is typically discussed in the context of combinatorics, and the situations are often contrived. This 21 slide powerpoint goes with my fundamental counting principle, and probability powerpoint. First use the fundamental counting principle to find the number of social security numbers that do not contain a 7. The fundamental counting principle can be used to determine the number of permutations of n objects.
To go to work, john drives his car to a train station. At an ice cream shop they have 5 different flavors of ice cream and you can pick one of 4 toppings. Course hero has thousands of fundamental counting principle study resources to help you. Practice counting possible outcomes in a variety of situations. Example 1 using the fundamental counting principle. Jul 18, 2007 the symbol 4 p 2 denotes the number of permutations when arranging 4 applicants in two positions. Fundamental counting principle fundamental counting principle fundamental counting principle fundamental counting principle factorials permutations it is easier to gain forgiveness than to get permission.
Sample spaces and the counting principle date period. This lesson includes 2 pages of guided notes and a 2page assignment. You can print a handout of these slides for students to use to highlight key information as they follow along with the presentation. This video was created for the data management mdm4u course in the province of ontario, canada. There are 3 choices for the first letter, 2 choices for the second letter, and. Nov 22, 2011 this video shows how the fundamental counting principle can be used to solve counting problems. Displaying powerpoint presentation on chapter 3 fundamental counting principle if one event available to view or download. We discuss 2 word problems that involve finding the total. The fundamental counting principle will allow us to take the same information and find the total outcomes using a simple calculation. The fundamental counting principle is a mathematical rule that allows you to find the number of ways that a combination of events can occur. The fundamental counting principle is a principle we use to help us determine the number of ways in which events can happen. Demonstrate understanding of how to apply the fundamental counting principle to quickly solve probability questions. The fundamental counting principle tells us that if we have two decisions to make, and there are m ways to make the first decision, and n ways to make the second decision, the product of m and n tells. The fundamental counting principle probability siyavula.
Download using the fundamental counting principle ppt for free. Discover how many different ohio license plates are possible relate the. Multiply the number of choices, 4, for each of the ten questions 4 4 4 4 4 4 4 4 4 4 1,048,576. For example, if the first event can occur 3 ways, the.
Discover the concept through tree diagrams practice applying it to different situations dice, outfits, spinners, etc. This 18 slide powerpoint goes with my fundamental counting principle, and probability powerpoint. Fundamental counting principle and probability printout. The fundamental counting principle for the letters, there are 26 for the first, but only 25 for the 2nd and 24 for the 3rd. Solution we will use the fundamental counting principle. Learn about the fundamental counting principle also known as the multiplication counting principle in this video by marios math tutoring. Fundamental counting principle math goodies glossary.
These problems cover everything from counting the number of ways to get dressed in the morning to counting the number of ways to build a custom pizza. Mar 30, 2011 what is the fundamental counting principle. What operation do you use for fundamental counting principals. These problems cover everything from counting the number of ways to get dressed in the morning to counting the. Click for visual click for table 2 choices next slide 3 a cafe serves 2 main courses burger and steak. Fundamental principle of counting linkedin slideshare. As a class, we compiled a list of resources that could be useful to prealgebra teachers. The fundamental counting principle allows the use of addition to find the number of choices to perform a task in some cases. The fundamental counting principle helps us find the total number of possible combinations that come from multiple events, whether were putting an outfit together with different shirts, pants and.
A new polo shirt is released in 4 different colors and 5 different sizes. Unit 5 fundamental counting principle and permutations. Fundamental counting principle if you have a ways of doing event 1, b ways of doing event 2, and c ways of event 3, then you can find the total number of outcomes by multiplying. You can print a handout of these slides with the blanked out key information for students to use to take notes as they follow along with the presentation. Suppose you have 3 shirts call them a, b, and c, and 4 pairs of pants call them w, x, y, and z. Fundamental counting principle probability tutorial. Using the fundamental counting principle xpowerpoint.
The fundamental counting principle 1 the fundamental counting principle. It can be used with a smartboard to get your students active and involved or without a smartboard. You can use the fundamental counting principle to find the number of different plates. Apr 17, 2011 the number of possible outcomes when preforming the. Fundamental counting principle used to determine the total. This packet seeks to illustrate the principle in the context where it is most useful for most peoplethat of probability. There are three independen slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising.
The fundamental counting principle linkedin slideshare. After creating two tree diagrams, students compare them. The fundamental counting principle is a way to figure out the total number of ways different events can occur. This page has twenty different topics that were derived from the utah secondary mathematics core curriculum, one of which was the fundamental counting principle, or fcp. Displaying powerpoint presentation on fundamental counting principle used to determine the total possible when available to view or download. For instance, you can find the number of ways you can arrange the letters a, b, and c by multiplying. Stated simply, it is the idea that if there are a ways of doing something and b ways of doing another thing, then there are a b ways of performing both actions. We use the fundamental counting principle to determine the number of ways you can answer the test. Fundamental rule of counting calculator math celebrity. A good way to understand the fundamental counting principle is through an example. Almeida explain how the fundamental counting principle can help you determine the number of possible outcomes or combinations very quickly. In this probability worksheet, students read story problems and draw tree diagrams to model the probability of compound events. Number of plates 10 10 10 26 26 26 17,576,000 the number of different license plates is 17,576,000. We assume it is not possible for both operations to occur.
The fundamental counting principle word problems using. To demonstrate the fundamental counting principle, for use in describing sample spaces composed of equally likely outcomes. If you continue browsing the site, you agree to the use of cookies on this website. Ethan had to do a project for his math class, so i helped him make this. Suppose that most of ones clothes are dirty are there are only two pants and three shirts one can wear, the fundamental counting principle can be employed to compute the number of ways one can dress number of choices one has left.
If you choose one of m items and one of n items, there are mn ways of selecting these two items. In this fundamental counting principle learning exercise, students use the fundamental counting principle to determine the total number of outcomes in a given situation. This lesson covers how to determine the number of possible combinations in situations where elements may be repeated. Use the fundamental counting principle to answer this question. Counting outcomes and the fundamental counting principle. A tree diagram is a way to show all of the possible outcomes. Tree diagrams and the fundamental counting principle. Tom wasow an example, from steven pinkers the language instinct, p. Fundamental counting principle and probability student notes. In this fundamental counting principle worksheet, students use the fundamental counting principle to determine the total number of outcomes in a given situation. This ppt is a great way to keep your struggling students on your pac. Ringhoeffer doesnt mind that i borrowed half handed clouds cant.
Fundamental counting principle many probability calculations rely on computing the number of choices for one item, followed by the number of choices for a second, and so on. Displaying powerpoint presentation on using the fundamental counting principle available to view or download. This video shows how the fundamental counting principle can be used to solve counting problems. In combinatorics, the rule of product or multiplication principle is a basic counting principle a. If gomer is going to choose 9 of the 20 books, and arrange them on a shelf, how many arrangements are possible. Grace murray hopper the maker doesnt want it, the buyer doesnt use it and the user doesnt see it. There are 10 choices for each digit and 26 choices for each letter. Garvinprobabilities and counting slide 312 probability fundamental counting principle your turn. The adobe flash plugin is needed to view this content.
Fundamental counting principle if an event m can occur in m ways and is followed by an event n that can occur in n ways, then the event m followed by the event n can occur in m times n ways. This onepage learning exercise contains 12 problems. If so, share your ppt presentation slides online with. The fundamental counting principle states that if there are m ways for one event to happen, and n ways for another event to happen, then there are mn ways for both events to happen well take a simple example. Fundamental principle of counting 1 fundamental principle of counting next slide 2 a cafe serves burgers and two different kinds of sweets ice cream and cake. Part 1 module 5 factorials, permutations and combinations n. Jan 30, 2017 this mathguide video demonstrates how to calculate clothing problems using the fundamental counting principle. Unit 5 fundamental counting principle and permutations the fundamental counting principle. Fundamental counting principle fundamental counting principle. Download fundamental counting principle used to determine the total possible when ppt for free. Find fundamental counting principle course notes, answered questions, and.
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